What is the relationship between powers of ten and place value?

Powers of ten determine the position of digits in a number, affecting its value based on its place.

How do you multiply powers of ten?

To multiply powers of ten, add the exponents (e.g., $$10^a * 10^b = 10^{a+b}$$ ).

7.NS.1ab Powers of Ten Flashcards: 15 Cards (7th Grade)

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the value of $10^{-2}$ ?

Back

0.01

2.

FLASHCARD QUESTION

Front

What fraction and decimal are equivalent to $10^{-3}$ ?

Back

$\frac{1}{10^3}$ and $0.001$ .

3.

FLASHCARD QUESTION

Front

What is the decimal equivalent of $10^{-7}$ ?

Back

0.0000001

4.

FLASHCARD QUESTION

Front

What is the exponent for $10^? = 0.000001$ ?

Back

-6

5.

FLASHCARD QUESTION

Front

Which row in the table illustrates an equivalent fraction and decimal form?

Back

Row D

6.

FLASHCARD QUESTION

Front

Define a power of ten.

Back

A power of ten is a number expressed as ten raised to an exponent, indicating how many times to multiply ten by itself.

7.

FLASHCARD QUESTION

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

8.

FLASHCARD QUESTION

Front

Convert $10^{-1}$ to decimal form.

Back

0.1

9.

FLASHCARD QUESTION

Front

What is $10^{0}$ equal to?

Back

1

10.

FLASHCARD QUESTION

Front

How do you express $10^{-4}$ as a fraction?

Back

$\frac{1}{10^4}$ .

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